## Oscillation(What is it?)

Given the function on $[0,1]$: $f(x) =
\begin{cases}
0 & \text{if } x \notin \mathbb{Q} \\
\frac{1}{q}e^{sin(p)} & \text{if } x =\frac{p}{q} reduced
\end{cases}$

1. Check the Oscillation $f(x)$ in every point.
2. Is $f(x)$ integrable?

Thank you!